Search a number
-
+
27684300996 = 223211225212
BaseRepresentation
bin11001110010000111…
…001110100011000100
32122110100220012112100
4121302013032203010
5423144140112441
620415030352100
72000020450542
oct316207164304
978410805470
1027684300996
1110817080100
1254474bb630
1327c26b43c1
1414a8a90d92
15ac06a5cb6
hex6721ce8c4

27684300996 has 81 divisors (see below), whose sum is σ = 76950426189. Its totient is φ = 8385854400.

The previous prime is 27684300983. The next prime is 27684301009. The reversal of 27684300996 is 69900348672.

It is a happy number.

The square root of 27684300996 is 166386.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (27684300983) and next prime (27684301009).

It can be written as a sum of positive squares in only one way, i.e., 21958596 + 27662342400 = 4686^2 + 166320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10980216 + ... + 10982736.

Almost surely, 227684300996 is an apocalyptic number.

27684300996 is the 166386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27684300996

27684300996 is an abundant number, since it is smaller than the sum of its proper divisors (49266125193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27684300996 is a wasteful number, since it uses less digits than its factorization.

27684300996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 27684300996 in words is "twenty-seven billion, six hundred eighty-four million, three hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2521 4356 5042 7563 10084 15126 22689 27731 30252 45378 55462 83193 90756 110924 166386 249579 305041 332772 499158 610082 915123 998316 1220164 1830246 2745369 3660492 5490738 6355441 10981476 12710882 19066323 25421764 38132646 57198969 69909851 76265292 114397938 139819702 209729553 228795876 279639404 419459106 629188659 769008361 838918212 1258377318 1538016722 2307025083 2516754636 3076033444 4614050166 6921075249 9228100332 13842150498 27684300996